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Funktsional'nyi Analiz i ego Prilozheniya, 2023, Volume 57, Issue 4, Pages 130–132
DOI: https://doi.org/10.4213/faa4093 (Mi faa4093) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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The Cayley–Hamilton theorem and resolvent representation

I. D. Kostrub

Voronezh State University
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DOI: https://doi.org/10.4213/faa4093
Abstract: For the Frobenius matrix accompanying an algebraic (differential) equation in a complex Banach algebra, the Cayley–Hamilton theorem is proved, which is used to obtain a representation of the resolvent.
Keywords: complex Banach algebra, algebraic and differential equations, resolvent, accompanying Frobenius matrix, Cayley–Hamilton theorem.
Received: 06.02.2023
Revised: 25.05.2023
Accepted: 26.05.2023
English version:
Functional Analysis and Its Applications, 2023, Volume 57, Issue 4, Pages 371–373
DOI: https://doi.org/10.1134/S001626632304010X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. D. Kostrub, “The Cayley–Hamilton theorem and resolvent representation”, Funktsional. Anal. i Prilozhen., 57:4 (2023), 130–132; Funct. Anal. Appl., 57:4 (2023), 371–373
Citation in format AMSBIB
\Bibitem{Kos23}
\by I.~D.~Kostrub
\paper The Cayley--Hamilton theorem and resolvent representation
\jour Funktsional. Anal. i Prilozhen.
\yr 2023
\vol 57
\issue 4
\pages 130--132
\mathnet{http://mi.mathnet.ru/faa4093}
\crossref{https://doi.org/10.4213/faa4093}
\transl
\jour Funct. Anal. Appl.
\yr 2023
\vol 57
\issue 4
\pages 371--373
\crossref{https://doi.org/10.1134/S001626632304010X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85189091505}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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